{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Class2 协整性套利"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么协整性？\n",
    "两变量间具有长期稳定关系。这与相关性不同。\n",
    "\n",
    "协整关系存在的条件是：只有当两个变量的时间序列{x}和{y}是同阶单整序列即I(d)时，才可能存在协整关系(这一点对多变量协整并不适用)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD8CAYAAAB5Pm/hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSqkWToNeKaVaOA16pZRq4f4fh4NGlIPP744AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f756e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.tsa.stattools as sts\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.stattools import coint\n",
    "\n",
    "np.random.seed(100)\n",
    "\n",
    "X = np.random.normal(1,1,100)\n",
    "Y = np.random.normal(2,1,100)\n",
    "\n",
    "X_cum = pd.Series(np.cumsum(X), name='X')\n",
    "Y_cum = pd.Series(np.cumsum(Y), name='Y')\n",
    "\n",
    "pd.concat([X_cum, Y_cum], axis=1).plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('cointegration pvalue = ', 0.14205235734673188)\n",
      "('correlation coefficient = ', 0.99049943000329876)\n"
     ]
    }
   ],
   "source": [
    "_, pvalue, _ = coint(X_cum, Y_cum)\n",
    "corr = np.corrcoef(X_cum, Y_cum)[0,1]\n",
    "print ('cointegration pvalue = ',pvalue)\n",
    "print ('correlation coefficient = ',corr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "995    51.432222\n",
      "996    49.495931\n",
      "997    53.336359\n",
      "998    48.333037\n",
      "999    52.330364\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "X = pd.Series(2*np.random.normal(0,1,1000)) + 50\n",
    "X_wave = X.copy()\n",
    "print X_wave.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD8CAYAAABw1c+bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfAYLP8MwjM9g4WcYhvEZ/w9Z+WTi4pI5XAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5ecca58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_wave[:100] = 60\n",
    "X_wave[100:200] = 40\n",
    "X_wave[200:300] = 60\n",
    "X_wave[300:400] = 40\n",
    "X_wave[400:500] = 60\n",
    "X_wave[500:600] = 40\n",
    "X_wave[600:700] = 60\n",
    "X_wave[700:800] = 40\n",
    "X_wave[800:900] = 60\n",
    "X_wave[900:1000] = 40\n",
    "\n",
    "X.plot()\n",
    "X_wave.plot()\n",
    "plt.ylim([20,80])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('cointegration pvalue = ', 4.4587487632006054e-09)\n",
      "('correlation coefficient = ', 0.0087557620813576015)\n"
     ]
    }
   ],
   "source": [
    "_, pvalue, _ = coint(X, X_wave)\n",
    "corr = np.corrcoef(X, X_wave)[0,1]\n",
    "print ('cointegration pvalue = ',pvalue)\n",
    "print ('correlation coefficient = ',corr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以上两个虚构的例子只是为了说明协整和相关性并不是一回事，大家要走出这个误区，不能简单的以相关性的高低来判断协整关系的强弱\n",
    "下面我们以真实市场的股票价格来进行配对交易的策略设计"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step_1 Get Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Errno 2] No such file or directory: 'config.py'\n",
      "<class 'pandas.core.panel.Panel'>\n",
      "Dimensions: 36 (items) x 232 (major_axis) x 5 (minor_axis)\n",
      "Items axis: 000016.XSHE to 603519.XSHG\n",
      "Major_axis axis: 2016-01-04 15:00:00 to 2016-12-14 15:00:00\n",
      "Minor_axis axis: close to volume\n"
     ]
    }
   ],
   "source": [
    "#coding=utf-8\n",
    "\n",
    "## Step 1 Get Classified Code\n",
    "\n",
    "# import tushare as ts\n",
    "#\n",
    "# data = ts.get_industry_classified()\n",
    "# print(data)\n",
    "# data.to_excel('classified.xlsx')\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "data = pd.read_excel('D:/PycharmProjects/Quant_Alpha/Strategies_test/Pair_Trading/classified.xlsx')\n",
    "cond = data.c_name==u'家电行业'\n",
    "code = list(data[cond].code)\n",
    "\n",
    "codes = []\n",
    "for c in code:\n",
    "    stocks = '%06.f'%c\n",
    "    codes.append(stocks)\n",
    "\n",
    "def coder(code):\n",
    "    if code.startswith('6'):\n",
    "        return code + '.XSHG'\n",
    "    elif code.startswith('0') or code.startswith('3'):\n",
    "        return code + '.XSHE'\n",
    "    else:\n",
    "        return code\n",
    "\n",
    "stock_list = map(coder, codes)\n",
    "household = tuple(stock_list)\n",
    "\n",
    "# Step 2 Get Data\n",
    "\n",
    "from fxdayu_data import DataAPI\n",
    "from datetime import datetime\n",
    "\n",
    "DataAPI.set_file('D:/PycharmProjects/Quant_Alpha/Data_Manager/config.py')\n",
    "PN_Candle = DataAPI.candle(household, 'D', start=datetime(2016,1,1))\n",
    "\n",
    "print(PN_Candle)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step_2 Test Co-integration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('002290.XSHE', '002508.XSHE', 0.030043452873596586)]\n",
      "[[ 1.          0.98590026  0.98590026 ...,  0.98590026  0.98590026\n",
      "   0.98590026]\n",
      " [ 1.          1.          0.98590026 ...,  0.98590026  0.98590026\n",
      "   0.98590026]\n",
      " [ 1.          1.          1.         ...,  0.98590026  0.98590026\n",
      "   0.98590026]\n",
      " ..., \n",
      " [ 1.          1.          1.         ...,  1.          0.98590026\n",
      "   0.98590026]\n",
      " [ 1.          1.          1.         ...,  1.          1.          0.98590026]\n",
      " [ 1.          1.          1.         ...,  1.          1.          1.        ]]\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAHSCAYAAAAje2BnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFUUEQRAEQRAEQbzT/D9m3BR14LZ/hAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x670d07b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def find_cointegrated_pairs(dataframe):\n",
    "    # 得到DataFrame长度\n",
    "    n = dataframe.shape[1]\n",
    "    # 初始化p值矩阵\n",
    "    pvalue_matrix = np.ones((n, n))\n",
    "    # 抽取列的名称\n",
    "    keys = dataframe.keys()\n",
    "    # 初始化强协整组\n",
    "    pairs = []\n",
    "    # 对于每一个i\n",
    "    for i in range(n):\n",
    "        # 对于大于i的j\n",
    "        for j in range(i+1, n):\n",
    "            # 获取相应的两只股票的价格Series\n",
    "            stock1 = dataframe[keys[i]]\n",
    "            stock2 = dataframe[keys[j]]\n",
    "            # 分析它们的协整关系\n",
    "            result = sm.tsa.stattools.coint(stock1, stock2)\n",
    "            # 取出并记录p值\n",
    "            pvalue = result[1]\n",
    "            pvalue_matrix[i, j] = pvalue\n",
    "            # 如果p值小于0.05\n",
    "            if pvalue < 0.05:\n",
    "                # 记录股票对和相应的p值\n",
    "                pairs.append((keys[i], keys[j], pvalue))\n",
    "    # 返回结果\n",
    "    return pvalue_matrix, pairs\n",
    "\n",
    "df = PN_Candle.minor_xs('close')\n",
    "pv, pairs = find_cointegrated_pairs(df)\n",
    "print(pairs)\n",
    "print pv\n",
    "fig = plt.figure(figsize=(15, 7))\n",
    "sns.heatmap(1-pv, xticklabels=df.columns, yticklabels=df.columns, cmap='RdYlGn_r', mask=(pv==1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step_3 Plot Two Stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzMAAAGUCAYAAAABLXzJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wAbxDgRknrOGwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7822ebe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_sample1 = df['002290.XSHE']\n",
    "stock_sample2 = df['002508.XSHE']\n",
    "plt.subplot(2, 1, 1)\n",
    "stock_sample1.plot(figsize=(14,7), label='002290.XSHE')\n",
    "plt.legend()\n",
    "plt.subplot(2, 1, 2)\n",
    "stock_sample2.plot(figsize=(14,7), label='002508.XSHE')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step_4 Regression Summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:            002508.XSHE   R-squared:                       0.435\n",
      "Model:                            OLS   Adj. R-squared:                  0.432\n",
      "Method:                 Least Squares   F-statistic:                     177.0\n",
      "Date:                Sat, 24 Jun 2017   Prob (F-statistic):           2.48e-30\n",
      "Time:                        09:49:09   Log-Likelihood:                -979.45\n",
      "No. Observations:                 232   AIC:                             1963.\n",
      "Df Residuals:                     230   BIC:                             1970.\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "===============================================================================\n",
      "                  coef    std err          t      P>|t|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const          11.8489     11.645      1.017      0.310     -11.096      34.794\n",
      "002290.XSHE     2.4261      0.182     13.304      0.000       2.067       2.785\n",
      "==============================================================================\n",
      "Omnibus:                       15.524   Durbin-Watson:                   0.094\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               16.688\n",
      "Skew:                          -0.639   Prob(JB):                     0.000238\n",
      "Kurtosis:                       3.309   Cond. No.                         684.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "x = stock_sample1\n",
    "y = stock_sample2\n",
    "X = sm.add_constant(x)\n",
    "result = (sm.OLS(y,X)).fit()\n",
    "print(result.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-squred为0.435，说明我们拟合的参数解释了0.435%的样本数据，说明拟合结果一般，AIC与BIC检验较小说明回归效果好，再来看看系数是否统计显著，const的系数的绝对值除标准误差为0.31，说明统计显著性一般，或许需要找其他行业来测试看看，这里只做一个例子。\n",
    "接下来我们看看线性组合的价差是否是在均值周围波动。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot The Confidence Band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.00110710094827\n",
      "16.4909430332\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2sAAAGUCAYAAACr7rp1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIirdD/AY4GH9pOiSDBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x672010f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff=y-2.4261*x-11.8489\n",
    "mean=np.mean(diff)\n",
    "std=np.std(diff)\n",
    "print (mean)\n",
    "print(std)\n",
    "up=mean+std\n",
    "down=mean-std\n",
    "time=diff.index\n",
    "mean_line=pd.Series(mean,index=time)\n",
    "up_line=pd.Series(up,index=time)\n",
    "down_line=pd.Series(down,index=time)\n",
    "chart = pd.concat([diff,mean_line,up_line,down_line],axis=1)\n",
    "chart.plot(figsize=(15,7))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "    至此，我们完成了配对交易的准备步骤，找到了协整股票对之间的线性关系以及股价差满足的模型，我们以'002508.XSHG'的股价减去拟合的系数2.4261倍'002290.XSHG'的股价，线性组合价差服从均值为11.84标准误差为16.49的正态分布。根据这样的线性关系，我们构建这么一个简单的配对交易策略：组合价差超过均值+1倍标准误差即卖出002508，买入002290；低于均值1倍标准误差即买入002508，卖出002290."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import talib as ta\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
